Time for Acceleration Calculator

✖Crest Speed is the maximum speed attained by the train during the run.ⓘ Crest Speed [V_m]			+10% -10%
✖Acceleration of Train is the rate of change in velocity to the change in time.ⓘ Acceleration of Train [α]			+10% -10%

✖The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α .ⓘ Time for Acceleration [t_α]

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Formula

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Time for Acceleration

Formula

`"t"_{"α"} = "V"_{"m"}/"α"`

Example

`"6.829861s"="98.35km/h"/"14.40km/h*s"`

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Time for Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time for Acceleration = Crest Speed/Acceleration of Train
t_α = V_m/α
This formula uses 3 Variables

Variables Used

Time for Acceleration - (Measured in Second) - The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α .
Crest Speed - (Measured in Meter per Second) - Crest Speed is the maximum speed attained by the train during the run.
Acceleration of Train - (Measured in Meter per Square Second) - Acceleration of Train is the rate of change in velocity to the change in time.

STEP 1: Convert Input(s) to Base Unit

Crest Speed: 98.35 Kilometer per Hour --> 27.3194444444444 Meter per Second (Check conversion here)
Acceleration of Train: 14.4 Kilometer per Hour Second --> 4.0000000000032 Meter per Square Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_α = V_m/α --> 27.3194444444444/4.0000000000032

Evaluating ... ...

t_α = 6.82986111110564

STEP 3: Convert Result to Output's Unit

6.82986111110564 Second --> No Conversion Required

FINAL ANSWER

6.82986111110564 ≈ 6.829861 Second <-- Time for Acceleration

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Go Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

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Go Gradient = sin(Angle D)*100

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Go Accelerating Weight of Train = Weight of Train*1.10

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Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

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Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Energy Consumption for Run

Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Maximum Power Output from Driving Axle

Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

Time for Acceleration Formula

Time for Acceleration = Crest Speed/Acceleration of Train
t_α = V_m/α

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How to Calculate Time for Acceleration?

Time for Acceleration calculator uses Time for Acceleration = Crest Speed/Acceleration of Train to calculate the Time for Acceleration, The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α . It is denoted as t₁ . Time for Acceleration is denoted by t_α symbol.

How to calculate Time for Acceleration using this online calculator? To use this online calculator for Time for Acceleration, enter Crest Speed (V_m) & Acceleration of Train (α) and hit the calculate button. Here is how the Time for Acceleration calculation can be explained with given input values -> 6.829861 = 27.3194444444444/4.0000000000032.

FAQ

What is Time for Acceleration?

The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α . It is denoted as t₁ and is represented as t_α = V_m/α or Time for Acceleration = Crest Speed/Acceleration of Train. Crest Speed is the maximum speed attained by the train during the run & Acceleration of Train is the rate of change in velocity to the change in time.

How to calculate Time for Acceleration?

The Time for Acceleration formula is defined as the ratio between the maximum speed ( crest speed) of the train V_m and acceleration of the train α . It is denoted as t₁ is calculated using Time for Acceleration = Crest Speed/Acceleration of Train. To calculate Time for Acceleration, you need Crest Speed (V_m) & Acceleration of Train (α). With our tool, you need to enter the respective value for Crest Speed & Acceleration of Train and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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